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Please help me with this question with detailed explanation ASAP. Numerical answers should either be exact or given up to 4 decimal places. Thanks. 1.

Please help me with this question with detailed explanation ASAP. Numerical answers should either be exact or given up to 4 decimal places. Thanks.

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1. (10 Marks) The AMSl303 nal marks of 21 students were recorded and the sample data are shown in the following stem-andleaf plot. Leaf in 1 3 6 6 9 A 4 7 5 5 6 7 8 9 2 5 6 8 9 2 5 (a) Suppose that the 1St quartile Q1 of the sample data is 53 and the interquartile range of the sample data is 23. Find A and g (b) Compute the mean, median, mode and standard deviation of the marks of 21 students. (c) Construct a box-andwhisker diagram for the above data. (d) An additional data x22 is added, and the sample mean increases by 1, what is the sample standard deviation

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